[Chip][material-next] Add Chip component

[DiegoAndai]

This issue is to track the work for adding the Chip component to @mui/material-next, moving forward with the Material You effort (#29345)

Material You Chip specification: https://m3.material.io/components/chips/overview

Migration Guide steps

• Copy component files from material (v5) to material-next: PR #38053
• Migrate component to Typescript: PR #38927
• Remove deprecated components and componentsProps props: Skipped, chip does not implement either (see additional work below)
• Drop support for ThemeProvider in favor of CssVarsProvider: PR #38927
• Refactor component to use Base UI’s hook if it exists: Not required, handled in ButtonBase
• Implement Material You design specs: PR #38927
• Add component playground to v5 docs: PR #38927
• Refactor styles to use component CSS Variables: PR #38927

Follow up work

• Implement circular shape: [Chip] adding 'rounded' property to chip component #37576
• Implement slots and slotProps props to deprecate avatar, icon, and deleteIcon. Improve focus state for clickable icons: [material-next][Chip] Implement slots pattern and improve focus state #39171
• Improve color prop usage: [material-next][Chip] Improve color prop usage and options #39173

Note: If a task is marked as [WIP] it means someone is working on it